A note on subquasivarieties of some varieties of lattices
On the variety Csub
The variety of lattices generated by lattices of all convex sublattices of distributive lattices is investigated.
A note on convex sublattices of lattices
Let denote the variety of lattices generated by convex sublattices of lattices in . For any proper variety , the variety is proper. There are uncountably many varieties with .
On skew lattices. I.
On skew lattices. II.
Some primitive classes of lattices closed under the formation of projective images
On -primitive lattices
The amalgamation property of varieties determined by primitive lattices
On lattices with isomorphic interval lattices
Primitive lattices
Some examples of primitive lattices
Free lattices over halflattices
Random posets, lattices, and lattices terms
Algorithms for generating random posets, random lattices and random lattice terms are given.
Incomparably continuable sets of semilattices
A finite set of finite semilattices is said to be incomparably continuable if it can be extended to an infinite set of pairwise incomparable (with respect to embeddability) finite semilattices. After giving some simple examples we show that the set consisting of the four-element Boolean algebra and the four-element fork is incomparably continuable.
Congruence lattices of finite chains with endomorphisms
Characterization of congruence lattices of finite chains with either one or two endomorphisms is given.
Compact elements in the lattice of varieties
We prove that the lattice of varieties contains almost no compact elements.
Page 1